10661066400 has 144 divisors (see below), whose sum is σ = 35440481664. Its totient is φ = 2782433280.

The previous prime is 10661066399. The next prime is 10661066417. The reversal of 10661066400 is 466016601.

It is a super-2 number, since 2×10661066400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65544 + ... + 160056.

It is an arithmetic number, because the mean of its divisors is an integer number (246114456).

Almost surely, 2^10661066400 is an apocalyptic number.

10661066400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720240832).

10661066400 is an abundant number, since it is smaller than the sum of its proper divisors (24779415264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10661066400 is a wasteful number, since it uses less digits than its factorization.

10661066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94583 (or 94570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10661066400 in words is "ten billion, six hundred sixty-one million, sixty-six thousand, four hundred".